342644878542960 has 480 divisors, whose sum is σ = 1359251801935872. Its totient is φ = 75696082882560.

The previous prime is 342644878542959. The next prime is 342644878542983. The reversal of 342644878542960 is 69245878446243.

342644878542960 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 4 + 4 + 8 + 78 + 542 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121567572 + ... + 124354188.

Almost surely, 2^{342644878542960} is an apocalyptic number.

342644878542960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342644878542960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679625900967936).

342644878542960 is an abundant number, since it is smaller than the sum of its proper divisors (1016606923392912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

342644878542960 is a wasteful number, since it uses less digits than its factorization.

342644878542960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787461 (or 2787452 counting only the distinct ones).

The product of its (nonzero) digits is 2229534720, while the sum is 72.

The spelling of 342644878542960 in words is "three hundred forty-two trillion, six hundred forty-four billion, eight hundred seventy-eight million, five hundred forty-two thousand, nine hundred sixty".